document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=315903>Question 315903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the point of intersection of the two lines:<BR>\n" );
document.write( "3x-4y=2<BR>\n" );
document.write( "-2x+y=1\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225996 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=225996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The point of intersection is simply the solution to:<BR>\n" );
document.write( "3x-4y=2<BR>\n" );
document.write( "-2x+y=1 <BR>\n" );
document.write( "Solve by the addition method.  Multiply the bottom equation by 4 and add:<BR>\n" );
document.write( "3x-4y=2<BR>\n" );
document.write( "-8x+4y=4 <BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "-5x = 6<BR>\n" );
document.write( "x = -6/5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Plug above into second equation and solve for y:<BR>\n" );
document.write( "-2x+y=1 <BR>\n" );
document.write( "-2(-6/5)+y=1 <BR>\n" );
document.write( "12/5+y=1 <BR>\n" );
document.write( "y = 1-12/5<BR>\n" );
document.write( "y = 5/5-12/5<BR>\n" );
document.write( "y = -7/5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Point of intersection:<BR>\n" );
document.write( "(-6/5, -7/5) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );